Find the differential of the function y = f(x). 2x2 + 5 f(x) = X + 5 dy = %3D

Q: The differential equation for which sin¬ x + sin¯ y = C is given by V1- x²dx + /1- y² dy = 0 b. V1-…

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Q: Obtain the differential equation associated with the given function: y = Cx² + c2.

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Q: Determine the differential equation that is satisfied x2 + y2 + 2ax + 2by + c = 0

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Q: Solve the differential equation for y in terms of x 1) y' + xy = 2x

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Q: 3. y?dx + (x² + 3xy + 4y²)dy = 0; when x = 2,y = 1

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Q: :Solve the differential equuation (1+ e" )dx + e 1- dy = 0 y

A: Given

Q: Find the differential dy of the given function.

A: Here we will Compute the first derivative dydx  And the rule we will use for computing is known as…

Q: Q2) A:Evaluate: F(x siny – ysinx)dx dy 后后 | B: Solve the differential equation: d2- + 3 dy - 4y = x?…

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Q: For a function y = g(x) the differential dy is given by:

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Q: solve the differential equation  a. dy/dx+9xy=x  x=0 and y=8 b. dy/dx+7x^6y=7x^6 x=0 y=5

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Q: Find the differential equation y = ae x + blnx + cx + d

A: Given that: ‘y=aex+blnx+cx+d…

Q: If df = y(xy + 1)dx - xdy, determine if is a state function of the variables x and y, if not, what…

A: Here we have to check that df is exact or not

Q: Determine the order and degree of the differential equation: 2x dʻy/dx+5x²(dy/dx)³-xy=D0

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Q: Eliminate the arbitrary constants (a, b) in the function to obtain the differentialequation. e* =…

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Q: What is the differential equation of the family of straight lines whose slope and x - intercept are…

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Q: x-2-x-4 is -2 – x -3 The differential of y= A) dy = . -dx

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Q: What is the degree of the differential equation? d²y dy 1 2 %3D `dx' dx2 2 3 4

A: Given differential equation is dydx12+y2=d2ydx2......1. We have to find the degree of the…

Q: y=2xy'-Iny' Find the general solution of the differential w w ww equation.

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Q: Given a differential equation (3x²y + 2xy + y³) dx + (x² + y²) dy = 0. What is the Integrating…

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Q: A functiony satisfies the differential equation y dy = x. If y = 1 when x = 0. dx then A y-1+x IB…

A: Solve the differential equation by separation of variable and use IVP (initial value problems)

Q: Find the general solution of the differential z-y+3 equation y' I-y

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Q: e3x 3. (D3 — 3D2 + 2D)у : 1+еx

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Q: y = Ax2 + Be-* Find the differential equation by eliminating the arbitrary constants. *

A: Given equation is  y= Ax2+Be-x  We have to find a differential equation by eliminating arbitrary…

Q: Given the differential equation  (ye^-x -sinx)dx -(e^-x +2y) dy = 0, what is the value of f'(y)?

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Q: Solve the differential equation by variation of parameters. y" + 2y + y = e-t In(t). -t 2e t²ln t…

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Q: A function x(t) satisfies the differential equation dx –xª – 7x³ + 18x² - dt

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Q: Find the differential equation such that y(x) = c₁(x-4) 8 +c₂ln(x-4) (x-4) 8

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Q: Find the differential coefficient f’(x) of the following implicit function:         x3 - y3 + 2x =…

A: To Find the differential coefficient f’(x) of the following implicit function:         x3 - y3 + 2x…

Q: dy + ydx = 3x²y?dx, %3D

A: Let's find.

Q: An integrating factor for the linear differential equation Y' - 2y = 12x is l=

A: The given differential equation is y'-2y=12x. Clearly, the given DE is a first order linear…

Q: y = C1e2" + C2e¬*

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Q: 3ln xy′−9x2 y′=4x4  What is the order of the differential equation shown above?

A: The given differential equation is ,3ln xy′−9x2 y′=4x4  The order of the differential equation is…

Q: 1 Solve for the differential of y when y=sinzx, x=÷, and dx= - 3 A) B) 2 -- C) D)

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Q: x-2y+3 3. The differential equation is reduced to [homogenous or separable]. dx 2x+3y-4

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Q: "The differential equation d2y/dx2+9y=seny is ordinary, linear, and second-order." Is it true or…

A: here in the given differential equation the dependent variable is x and independent variable is y…

Q: xdy- ydx 4. The exact differential d what is the

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Q: Find the differential equation of y(x-6y) dx-x(2x-9)y dy=0

A: Solution is given below:

Q: gmmuany. Solve the differential equation d²y + 4y = 4tan2x by the method of variation dx2 of…

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Q: he differential equation (y2 + 2xy) dx - x 2dy = 0 is not exact, and the factor y-2 makes it exact?…

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Q: Solve the differential equation using variation of parameters. y''-2y'+2y=e^x sec(x)

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Q: 3 y = √√2x + 7

A: Given,  y=2x+73 or x=y3-72

Q: Obtain the differential equation associated with the given function: y = Cx² + C².

A: first we will derivative with restive x then find the value of C then put in given equation

Q: y = x2 + Ae2x + Be3x

A: From the given differential equation. y=x2+Ae2x+Be3x

Q: Find the differential equation: (x+y-2)dx + (x-4y-2)dy = 0

A: To solve the given differential equation we use separation of variables method.

Q: the differential equation x²d¯y +x dy +(x2-n²)y=0 , is +X dx2 dx

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Q: Solve the differential equation by variation of parameters. y" + 3y' + 2y = 3 + e* y(x) =

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Q: Need to solve this differential ecuation y''- 4y' +4y = xe^2x

A: We have given a differential equation ,  y'' - 4y' + 4y = xe2x First we will find complimentary…

Q: Solve the differential equation by variation of parameters. y" + 2y' + y = e-t In(t) y(t) = %D

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Q: Solve for y the differential equation yÿ = x

A: This question is related to differrential equations, We will solve it using given information.